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Finding the Fourth Proportional to 346.70, 519.45 and 164.06

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Solution

The fourth proportional to 346.70, 519.45 and 164.06 is: 245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.70 : 519.45 = 164.06 : x
  2. Step 2: Convert to fraction form
    346.70/519.45 = 164.06/x
  3. Step 3: Cross multiply
    346.70x = 519.45 × 164.06
  4. Step 4: Simplify right side
    346.70x = 85,220.97
  5. Step 5: Solve for x
    x = 85,220.97/346.70
  6. Step 6: Final answer
    x = 245.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.